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Optimal task assignment in linear array networks

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3 Author(s)
Cheol-Hoon Lee ; Dept. of Electr. Eng., Korea Adv. Inst. for Sci. & Technol., Seoul, South Korea ; Dongmyun Lee ; Kim, Myunghwan

The problem of assigning tasks to the processors of a distributed computing system such that the sum of execution and communication costs is minimized is discussed. This problem is known to be NP-complete in the general case, and thus intractable for systems with a large number of processors. H.S. Stone's (1977) network flow approach for a two-processor system is extended to the case for a linear array of any number of processors. The task assignment problem for a linear array network is first transformed into the two-terminal network flow problem, and then solved by applying the Goldberg-Tarjan (1987) network flow algorithm in time no worse than O(n2m 3 log n), where n and m are the number of processors and the number of tasks, respectively

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Computers, IEEE Transactions on  (Volume:41 ,  Issue: 7 )